受扰动的分数阶电机混沌系统的函数矩阵投影同步

吉林大学学报(理学版) ›› 2025, Vol. 63 ›› Issue (3): 906-0914.

受扰动的分数阶电机混沌系统的函数矩阵投影同步

吴一品¹, 贺金满^1,2, 杨春升¹

1. 中原工学院数学与信息科学学院, 郑州 451191； 2. 郑州大学数学与统计学院, 郑州 450001

收稿日期:2024-03-12 出版日期:2025-05-26 发布日期:2025-05-26
通讯作者: 贺金满 E-mail:hejinman1026@163.com

Function Matrix Projection Synchronization of Disturbed Fractional-Order Motor Chaotic Systems

WU Yipin¹, HE Jinman^1,2, YANG Chunsheng¹

1. College of Mathematics and Information Science, Zhongyuan University of Technology, Zhengzhou 451191, China; 2. College of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Received:2024-03-12 Online:2025-05-26 Published:2025-05-26

摘要/Abstract

摘要： 首先, 给出函数矩阵投影同步的定义; 其次, 利用主动控制法实现2个受扰动的分数阶电机混沌系统的函数矩阵投影同步, 并采用2种方法证明控制器的有效性; 最后, 通过MATLAB数值仿真验证同步理论分析的正确性和有效性.

关键词: 函数矩阵投影同步, 电机混沌系统, 分数阶微积分, 主动控制

Abstract: Firstly, we gave the definition of function matrix projection synchronization. Secondly, by using the active control method, the function matrix projection synchronization was realized between two disturbed fractional-order motor chaotic systems, and the effectiveness of the controller was demonstrated by using two methods. Finally, the correctness and effectiveness of the synchronization theoretical analysis were verified by MATLAB numerical simulations.

Key words: function matrix projection synchronization, motor chaotic system, fractional-order calculus, active control

中图分类号:

O415.5

吴一品贺金满, 杨春升. 受扰动的分数阶电机混沌系统的函数矩阵投影同步[J]. 吉林大学学报(理学版), 2025, 63(3): 906-0914.

WU Yipin, HE Jinman, YANG Chunsheng. Function Matrix Projection Synchronization of Disturbed Fractional-Order Motor Chaotic Systems[J]. Journal of Jilin University Science Edition, 2025, 63(3): 906-0914.

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